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660426624 = 2732111319211
BaseRepresentation
bin100111010111010…
…100111110000000
31201000201011000100
4213113110332000
52323032122444
6145311122400
722236351024
oct4727247600
91630634010
10660426624
11309880330
12165213400
13a6a94ab0
14639d6384
153cea6e69
hex275d4f80

660426624 has 384 divisors, whose sum is σ = 2361340800. Its totient is φ = 174182400.

The previous prime is 660426583. The next prime is 660426631. The reversal of 660426624 is 426624066.

660426624 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 26 + 624 = 666.

660426624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129879 + ... + 3130089.

It is an arithmetic number, because the mean of its divisors is an integer number (6149325).

Almost surely, 2660426624 is an apocalyptic number.

660426624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180670400).

660426624 is an abundant number, since it is smaller than the sum of its proper divisors (1700914176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

660426624 is a wasteful number, since it uses less digits than its factorization.

660426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 660426624 is about 25698.7669743122. The cubic root of 660426624 is about 870.8463266536.

The spelling of 660426624 in words is "six hundred sixty million, four hundred twenty-six thousand, six hundred twenty-four".